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Finding the Fourth Proportional to 564,348.69, 846,602.46 and 165,019.50

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Solution

The fourth proportional to 564,348.69, 846,602.46 and 165,019.50 is: 247,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,348.69 : 846,602.46 = 165,019.50 : x
  2. Step 2: Convert to fraction form
    564,348.69/846,602.46 = 165,019.50/x
  3. Step 3: Cross multiply
    564,348.69x = 846,602.46 × 165,019.50
  4. Step 4: Simplify right side
    564,348.69x = 139,705,914,647.97
  5. Step 5: Solve for x
    x = 139,705,914,647.97/564,348.69
  6. Step 6: Final answer
    x = 247,552.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.